TSTP Solution File: LAT087-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : LAT087-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 06:25:30 EDT 2022
% Result : Unsatisfiable 21.45s 21.75s
% Output : Refutation 21.45s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : LAT087-1 : TPTP v8.1.0. Released v2.6.0.
% 0.06/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.33 % Computer : n025.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jun 28 20:29:51 EDT 2022
% 0.12/0.33 % CPUTime :
% 21.45/21.74 ============================== Prover9 ===============================
% 21.45/21.74 Prover9 (32) version 2009-11A, November 2009.
% 21.45/21.74 Process 3738 was started by sandbox on n025.cluster.edu,
% 21.45/21.74 Tue Jun 28 20:29:52 2022
% 21.45/21.74 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_3585_n025.cluster.edu".
% 21.45/21.74 ============================== end of head ===========================
% 21.45/21.74
% 21.45/21.74 ============================== INPUT =================================
% 21.45/21.74
% 21.45/21.74 % Reading from file /tmp/Prover9_3585_n025.cluster.edu
% 21.45/21.74
% 21.45/21.74 set(prolog_style_variables).
% 21.45/21.74 set(auto2).
% 21.45/21.74 % set(auto2) -> set(auto).
% 21.45/21.74 % set(auto) -> set(auto_inference).
% 21.45/21.74 % set(auto) -> set(auto_setup).
% 21.45/21.74 % set(auto_setup) -> set(predicate_elim).
% 21.45/21.74 % set(auto_setup) -> assign(eq_defs, unfold).
% 21.45/21.74 % set(auto) -> set(auto_limits).
% 21.45/21.74 % set(auto_limits) -> assign(max_weight, "100.000").
% 21.45/21.74 % set(auto_limits) -> assign(sos_limit, 20000).
% 21.45/21.74 % set(auto) -> set(auto_denials).
% 21.45/21.74 % set(auto) -> set(auto_process).
% 21.45/21.74 % set(auto2) -> assign(new_constants, 1).
% 21.45/21.74 % set(auto2) -> assign(fold_denial_max, 3).
% 21.45/21.74 % set(auto2) -> assign(max_weight, "200.000").
% 21.45/21.74 % set(auto2) -> assign(max_hours, 1).
% 21.45/21.74 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 21.45/21.74 % set(auto2) -> assign(max_seconds, 0).
% 21.45/21.74 % set(auto2) -> assign(max_minutes, 5).
% 21.45/21.74 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 21.45/21.74 % set(auto2) -> set(sort_initial_sos).
% 21.45/21.74 % set(auto2) -> assign(sos_limit, -1).
% 21.45/21.74 % set(auto2) -> assign(lrs_ticks, 3000).
% 21.45/21.74 % set(auto2) -> assign(max_megs, 400).
% 21.45/21.74 % set(auto2) -> assign(stats, some).
% 21.45/21.74 % set(auto2) -> clear(echo_input).
% 21.45/21.74 % set(auto2) -> set(quiet).
% 21.45/21.74 % set(auto2) -> clear(print_initial_clauses).
% 21.45/21.74 % set(auto2) -> clear(print_given).
% 21.45/21.74 assign(lrs_ticks,-1).
% 21.45/21.74 assign(sos_limit,10000).
% 21.45/21.74 assign(order,kbo).
% 21.45/21.74 set(lex_order_vars).
% 21.45/21.74 clear(print_given).
% 21.45/21.74
% 21.45/21.74 % formulas(sos). % not echoed (2 formulas)
% 21.45/21.74
% 21.45/21.74 ============================== end of input ==========================
% 21.45/21.74
% 21.45/21.74 % From the command line: assign(max_seconds, 300).
% 21.45/21.74
% 21.45/21.74 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 21.45/21.74
% 21.45/21.74 % Formulas that are not ordinary clauses:
% 21.45/21.74
% 21.45/21.74 ============================== end of process non-clausal formulas ===
% 21.45/21.74
% 21.45/21.74 ============================== PROCESS INITIAL CLAUSES ===============
% 21.45/21.74
% 21.45/21.74 ============================== PREDICATE ELIMINATION =================
% 21.45/21.74
% 21.45/21.74 ============================== end predicate elimination =============
% 21.45/21.74
% 21.45/21.74 Auto_denials:
% 21.45/21.74 % copying label prove_normal_axioms_8 to answer in negative clause
% 21.45/21.74
% 21.45/21.74 Term ordering decisions:
% 21.45/21.74 Function symbol KB weights: a=1. b=1. join=1. meet=1.
% 21.45/21.74
% 21.45/21.74 ============================== end of process initial clauses ========
% 21.45/21.74
% 21.45/21.74 ============================== CLAUSES FOR SEARCH ====================
% 21.45/21.74
% 21.45/21.74 ============================== end of clauses for search =============
% 21.45/21.74
% 21.45/21.74 ============================== SEARCH ================================
% 21.45/21.74
% 21.45/21.74 % Starting search at 0.01 seconds.
% 21.45/21.74
% 21.45/21.74 Low Water (keep): wt=187.000, iters=3376
% 21.45/21.74
% 21.45/21.74 Low Water (keep): wt=171.000, iters=3344
% 21.45/21.74
% 21.45/21.74 Low Water (keep): wt=157.000, iters=3338
% 21.45/21.74
% 21.45/21.74 Low Water (keep): wt=155.000, iters=3343
% 21.45/21.75
% 21.45/21.75 Low Water (keep): wt=151.000, iters=3350
% 21.45/21.75
% 21.45/21.75 Low Water (keep): wt=141.000, iters=3342
% 21.45/21.75
% 21.45/21.75 Low Water (keep): wt=137.000, iters=3338
% 21.45/21.75
% 21.45/21.75 Low Water (keep): wt=133.000, iters=3468
% 21.45/21.75
% 21.45/21.75 Low Water (keep): wt=125.000, iters=3403
% 21.45/21.75
% 21.45/21.75 Low Water (keep): wt=123.000, iters=3374
% 21.45/21.75
% 21.45/21.75 Low Water (keep): wt=121.000, iters=3402
% 21.45/21.75
% 21.45/21.75 ============================== PROOF =================================
% 21.45/21.75 % SZS status Unsatisfiable
% 21.45/21.75 % SZS output start Refutation
% 21.45/21.75
% 21.45/21.75 % Proof 1 at 20.61 (+ 0.15) seconds: prove_normal_axioms_8.
% 21.45/21.75 % Length of proof is 41.
% 21.45/21.75 % Level of proof is 22.
% 21.45/21.75 % Maximum clause weight is 167.000.
% 21.45/21.75 % Given clauses 441.
% 21.45/21.75
% 21.45/21.75 1 join(meet(join(meet(A,B),meet(B,join(A,B))),C),meet(join(meet(A,join(join(meet(D,B),meet(B,E)),B)),meet(join(meet(B,meet(meet(join(D,join(B,E)),join(F,B)),B)),meet(V6,join(B,meet(meet(join(D,join(B,E)),join(F,B)),B)))),join(A,join(join(meet(D,B),meet(B,E)),B)))),join(join(meet(A,B),meet(B,join(A,B))),C))) = B # label(single_axiom) # label(axiom). [assumption].
% 21.45/21.75 2 join(a,meet(a,b)) != a # label(prove_normal_axioms_8) # label(negated_conjecture) # answer(prove_normal_axioms_8). [assumption].
% 21.45/21.75 3 join(meet(join(meet(A,join(meet(B,C),meet(C,join(B,C)))),meet(join(meet(B,C),meet(C,join(B,C))),join(A,join(meet(B,C),meet(C,join(B,C)))))),D),meet(join(meet(A,join(join(meet(E,join(meet(B,C),meet(C,join(B,C)))),meet(join(meet(B,C),meet(C,join(B,C))),F)),join(meet(B,C),meet(C,join(B,C))))),meet(C,join(A,join(join(meet(E,join(meet(B,C),meet(C,join(B,C)))),meet(join(meet(B,C),meet(C,join(B,C))),F)),join(meet(B,C),meet(C,join(B,C))))))),join(join(meet(A,join(meet(B,C),meet(C,join(B,C)))),meet(join(meet(B,C),meet(C,join(B,C))),join(A,join(meet(B,C),meet(C,join(B,C)))))),D))) = join(meet(B,C),meet(C,join(B,C))). [para(1(a,1),1(a,1,2,1,2,1))].
% 21.45/21.75 4 join(meet(join(meet(A,B),meet(B,join(A,B))),C),meet(join(meet(A,join(join(meet(D,B),meet(B,E)),B)),meet(join(meet(F,join(join(meet(V6,B),meet(B,V7)),B)),meet(join(meet(B,meet(meet(join(V6,join(B,V7)),join(V8,B)),B)),meet(V9,join(B,meet(meet(join(V6,join(B,V7)),join(V8,B)),B)))),join(F,join(join(meet(V6,B),meet(B,V7)),B)))),join(A,join(join(meet(D,B),meet(B,E)),B)))),join(join(meet(A,B),meet(B,join(A,B))),C))) = B. [para(1(a,1),3(a,1,1,1,1,2)),rewrite([1(91),1(91),1(95),1(96),1(98),1(126),1(127),1(129),1(133),1(134),1(134),1(140)])].
% 21.45/21.75 5 join(meet(join(meet(join(meet(A,B),meet(B,join(A,B))),B),meet(B,join(join(meet(A,B),meet(B,join(A,B))),B))),C),meet(B,join(join(meet(join(meet(A,B),meet(B,join(A,B))),B),meet(B,join(join(meet(A,B),meet(B,join(A,B))),B))),C))) = B. [para(1(a,1),4(a,1,2,1))].
% 21.45/21.75 6 join(meet(join(meet(A,B),meet(B,join(A,B))),C),meet(join(meet(A,join(join(meet(D,B),meet(B,E)),B)),meet(join(meet(F,join(join(meet(V6,B),meet(B,V7)),B)),meet(join(meet(V8,join(join(meet(V9,B),meet(B,V10)),B)),meet(join(meet(B,meet(meet(join(V9,join(B,V10)),join(V11,B)),B)),meet(V12,join(B,meet(meet(join(V9,join(B,V10)),join(V11,B)),B)))),join(V8,join(join(meet(V9,B),meet(B,V10)),B)))),join(F,join(join(meet(V6,B),meet(B,V7)),B)))),join(A,join(join(meet(D,B),meet(B,E)),B)))),join(join(meet(A,B),meet(B,join(A,B))),C))) = B. [para(4(a,1),3(a,1,1,1,1,2)),rewrite([4(127),4(127),4(131),4(132),4(134),4(174),4(175),4(177),4(181),4(182),4(182),4(188)])].
% 21.45/21.75 8 join(meet(join(meet(A,B),meet(B,join(A,B))),C),meet(join(meet(A,join(B,B)),meet(join(meet(B,meet(meet(join(join(meet(join(meet(D,B),meet(B,join(D,B))),B),meet(B,join(join(meet(D,B),meet(B,join(D,B))),B))),join(B,join(join(meet(join(meet(D,B),meet(B,join(D,B))),B),meet(B,join(join(meet(D,B),meet(B,join(D,B))),B))),B))),join(E,B)),B)),meet(F,join(B,meet(meet(join(join(meet(join(meet(D,B),meet(B,join(D,B))),B),meet(B,join(join(meet(D,B),meet(B,join(D,B))),B))),join(B,join(join(meet(join(meet(D,B),meet(B,join(D,B))),B),meet(B,join(join(meet(D,B),meet(B,join(D,B))),B))),B))),join(E,B)),B)))),join(A,join(B,B)))),join(join(meet(A,B),meet(B,join(A,B))),C))) = B. [para(5(a,1),1(a,1,2,1,1,2,1)),rewrite([5(99)])].
% 21.45/21.75 9 join(meet(join(meet(A,B),meet(B,join(A,B))),C),meet(join(meet(A,join(join(meet(D,B),meet(B,E)),B)),meet(B,join(A,join(join(meet(D,B),meet(B,E)),B)))),join(join(meet(A,B),meet(B,join(A,B))),C))) = B. [para(5(a,1),3(a,1,1,1,1,2)),rewrite([5(29),5(29),5(33),5(34),5(36),5(38),5(39),5(41),5(45),5(46),5(46),5(52)])].
% 21.45/21.75 10 join(meet(join(meet(A,join(meet(B,C),meet(C,join(B,C)))),meet(join(meet(B,C),meet(C,join(B,C))),join(A,join(meet(B,C),meet(C,join(B,C)))))),D),meet(join(meet(A,join(join(meet(B,C),meet(C,join(B,C))),join(meet(B,C),meet(C,join(B,C))))),meet(C,join(A,join(join(meet(B,C),meet(C,join(B,C))),join(meet(B,C),meet(C,join(B,C))))))),join(join(meet(A,join(meet(B,C),meet(C,join(B,C)))),meet(join(meet(B,C),meet(C,join(B,C))),join(A,join(meet(B,C),meet(C,join(B,C)))))),D))) = join(meet(B,C),meet(C,join(B,C))). [para(5(a,1),3(a,1,2,1,1,2,1)),rewrite([5(139)])].
% 21.45/21.75 17 join(meet(A,B),meet(A,join(A,B))) = A. [para(5(a,1),5(a,1,1,1)),rewrite([5(29)])].
% 21.45/21.75 32 join(meet(join(meet(A,B),meet(B,join(A,B))),C),meet(join(meet(A,join(join(meet(D,B),meet(B,E)),B)),meet(join(meet(F,join(join(meet(V6,B),meet(B,V7)),B)),meet(join(meet(V8,join(join(meet(V9,B),meet(B,V10)),B)),meet(join(meet(V11,join(join(meet(V12,B),meet(B,V13)),B)),meet(join(meet(B,meet(meet(join(V12,join(B,V13)),join(V14,B)),B)),meet(V15,join(B,meet(meet(join(V12,join(B,V13)),join(V14,B)),B)))),join(V11,join(join(meet(V12,B),meet(B,V13)),B)))),join(V8,join(join(meet(V9,B),meet(B,V10)),B)))),join(F,join(join(meet(V6,B),meet(B,V7)),B)))),join(A,join(join(meet(D,B),meet(B,E)),B)))),join(join(meet(A,B),meet(B,join(A,B))),C))) = B. [para(6(a,1),3(a,1,1,1,1,2)),rewrite([6(163),6(163),6(167),6(168),6(170),6(222),6(223),6(225),6(229),6(230),6(230),6(236)])].
% 21.45/21.75 49 join(meet(A,join(join(meet(B,C),meet(C,D)),C)),meet(join(meet(E,join(join(meet(F,C),meet(C,V6)),C)),meet(join(meet(V7,join(join(meet(V8,C),meet(C,V9)),C)),meet(join(meet(C,meet(meet(join(V8,join(C,V9)),join(V10,C)),C)),meet(V11,join(C,meet(meet(join(V8,join(C,V9)),join(V10,C)),C)))),join(V7,join(join(meet(V8,C),meet(C,V9)),C)))),join(E,join(join(meet(F,C),meet(C,V6)),C)))),join(A,join(join(meet(B,C),meet(C,D)),C)))) = C. [para(6(a,1),9(a,1,1,1)),rewrite([6(371),6(163),17(4)]),flip(a)].
% 21.45/21.75 53 join(meet(A,join(join(meet(B,C),meet(C,D)),C)),meet(C,join(A,join(join(meet(B,C),meet(C,D)),C)))) = C. [para(9(a,1),9(a,1,1,1)),rewrite([9(105),9(49),17(4)]),flip(a)].
% 21.45/21.75 60 join(meet(join(meet(A,B),meet(B,join(A,B))),C),meet(B,join(join(meet(A,B),meet(B,join(A,B))),C))) = B. [back_rewrite(32),rewrite([49(60),53(17)])].
% 21.45/21.75 65 join(meet(join(meet(A,B),meet(B,join(A,B))),C),meet(join(meet(A,join(B,B)),meet(join(meet(B,meet(meet(join(B,join(B,join(B,B))),join(D,B)),B)),meet(E,join(B,meet(meet(join(B,join(B,join(B,B))),join(D,B)),B)))),join(A,join(B,B)))),join(join(meet(A,B),meet(B,join(A,B))),C))) = B. [back_rewrite(8),rewrite([60(19),60(19),60(26),60(26)])].
% 21.45/21.75 68 join(meet(A,join(B,B)),meet(B,join(A,join(B,B)))) = B. [para(17(a,1),53(a,1,1,2,1)),rewrite([17(6)])].
% 21.45/21.75 75 join(meet(A,B),meet(B,join(A,B))) = B. [para(17(a,1),10(a,1,1,1)),rewrite([60(35),17(29),60(12)]),flip(a)].
% 21.45/21.75 79 join(meet(A,B),meet(join(meet(C,join(A,A)),meet(join(meet(A,meet(meet(join(A,join(A,join(A,A))),join(D,A)),A)),meet(E,join(A,meet(meet(join(A,join(A,join(A,A))),join(D,A)),A)))),join(C,join(A,A)))),join(A,B))) = A. [back_rewrite(65),rewrite([75(4),75(27)])].
% 21.45/21.75 206 join(meet(A,join(join(meet(B,C),meet(C,D)),C)),meet(join(meet(E,join(join(meet(F,C),meet(C,V6)),C)),meet(join(meet(V7,join(join(meet(V8,C),meet(C,V9)),C)),meet(meet(meet(join(V8,join(C,V9)),join(V10,C)),C),join(V7,join(join(meet(V8,C),meet(C,V9)),C)))),join(E,join(join(meet(F,C),meet(C,V6)),C)))),join(A,join(join(meet(B,C),meet(C,D)),C)))) = C. [para(75(a,1),49(a,1,2,1,2,1,2,1))].
% 21.45/21.75 217 join(meet(A,B),meet(join(meet(A,meet(meet(join(A,join(A,join(A,A))),join(C,A)),A)),meet(D,join(A,meet(meet(join(A,join(A,join(A,A))),join(C,A)),A)))),join(A,B))) = A. [para(17(a,1),79(a,1,2,1))].
% 21.45/21.75 224 join(meet(A,B),meet(join(meet(C,join(A,A)),meet(meet(meet(join(A,join(A,join(A,A))),join(D,A)),A),join(C,join(A,A)))),join(A,B))) = A. [para(75(a,1),79(a,1,2,1,2,1))].
% 21.45/21.75 229 join(meet(A,B),meet(meet(meet(join(A,join(A,join(A,A))),join(C,A)),A),join(A,B))) = A. [para(17(a,1),224(a,1,2,1))].
% 21.45/21.75 254 meet(meet(join(A,join(A,join(A,A))),join(B,A)),A) = A. [para(229(a,1),53(a,1)),flip(a)].
% 21.45/21.75 262 join(meet(A,B),meet(join(meet(A,A),meet(C,join(A,A))),join(A,B))) = A. [back_rewrite(217),rewrite([254(7),254(8)])].
% 21.45/21.75 315 join(meet(A,A),meet(B,join(A,A))) = A. [para(262(a,1),53(a,1)),flip(a)].
% 21.45/21.75 324 join(join(meet(A,B),meet(B,C)),B) = B. [para(315(a,1),53(a,1))].
% 21.45/21.75 325 join(A,A) = A. [para(315(a,1),68(a,1))].
% 21.45/21.75 376 join(meet(A,B),meet(join(meet(C,B),meet(join(meet(D,B),meet(meet(meet(join(E,join(B,F)),join(V6,B)),B),join(D,B))),join(C,B))),join(A,B))) = B. [back_rewrite(206),rewrite([324(4),324(5),324(6),324(12),324(15),324(18)])].
% 21.45/21.75 397 join(meet(A,A),meet(B,A)) = A. [back_rewrite(315),rewrite([325(2)])].
% 21.45/21.75 503 meet(A,A) = A. [para(325(a,1),17(a,1,2,2)),rewrite([325(3)])].
% 21.45/21.75 514 join(A,meet(B,A)) = A. [back_rewrite(397),rewrite([503(1)])].
% 21.45/21.75 547 meet(join(meet(A,B),meet(B,C)),B) = join(meet(A,B),meet(B,C)). [para(324(a,1),17(a,1,2,2)),rewrite([325(9)])].
% 21.45/21.75 550 join(meet(A,B),B) = B. [para(514(a,1),324(a,1,1))].
% 21.45/21.75 552 meet(meet(A,B),B) = meet(A,B). [para(550(a,1),17(a,1,2,2)),rewrite([325(5)])].
% 21.45/21.75 621 join(meet(A,B),meet(join(meet(C,B),meet(meet(meet(join(D,join(B,E)),join(F,B)),B),join(C,B))),join(A,B))) = B. [para(376(a,1),17(a,1)),flip(a)].
% 21.45/21.75 7200 join(meet(A,B),meet(meet(meet(join(C,join(B,D)),join(E,B)),B),join(A,B))) = B. [para(621(a,1),17(a,1)),flip(a)].
% 21.45/21.75 7528 meet(meet(join(A,join(B,C)),join(D,B)),B) = B. [para(7200(a,1),17(a,1)),flip(a)].
% 21.45/21.75 7812 meet(join(A,join(B,C)),B) = B. [para(325(a,1),7528(a,1,1,2)),rewrite([552(4)])].
% 21.45/21.75 8650 meet(join(A,B),A) = A. [para(325(a,1),7812(a,1,1))].
% 21.45/21.75 8669 join(A,meet(A,B)) = A. [para(7812(a,1),547(a,1,1,1)),rewrite([8650(3),7812(3)]),flip(a)].
% 21.45/21.75 8670 $F # answer(prove_normal_axioms_8). [resolve(8669,a,2,a)].
% 21.45/21.75
% 21.45/21.75 % SZS output end Refutation
% 21.45/21.75 ============================== end of proof ==========================
% 21.45/21.75
% 21.45/21.75 ============================== STATISTICS ============================
% 21.45/21.75
% 21.45/21.75 Given=441. Generated=256056. Kept=8669. proofs=1.
% 21.45/21.75 Usable=395. Sos=6248. Demods=6671. Limbo=29, Disabled=1998. Hints=0.
% 21.45/21.75 Megabytes=32.46.
% 21.45/21.75 User_CPU=20.61, System_CPU=0.15, Wall_clock=21.
% 21.45/21.75
% 21.45/21.75 ============================== end of statistics =====================
% 21.45/21.75
% 21.45/21.75 ============================== end of search =========================
% 21.45/21.75
% 21.45/21.75 THEOREM PROVED
% 21.45/21.75 % SZS status Unsatisfiable
% 21.45/21.75
% 21.45/21.75 Exiting with 1 proof.
% 21.45/21.75
% 21.45/21.75 Process 3738 exit (max_proofs) Tue Jun 28 20:30:13 2022
% 21.45/21.75 Prover9 interrupted
%------------------------------------------------------------------------------